ManxomeBromide posted:
Nasty puzzle here.
We have five geysers B, J, M, O, S, and lengths 1, 2, 3, 4, 5.
We are given three patterns that have to be fit here: B 3 J, M 1, and 4 O. (Rules 4, 5, 6)
The M 1 and 4 O patterns cannot overlap because that would make Old Irregular have a one minute pause, which is not permitted. (Rule 3)
The M cannot be between B and J because J's wait also cannot be 1. (Rule 3)
The O cannot be between B and J because B's wait would then be 4 minutes, which is also not permitted. (Rule 2)
That means the only possible order is M B S J O, with in turn means Spittoon is 3 minutes, Bad Bob is 1 minute, and Jezebel is 4 minutes.
Morgenstern does not have a 2 minute wait (Rule 1) so only 5 minutes is left, which means Old Irregular must have the 2 minute weight.
Final order: Morgenstern, Bad Bob, Spittoon, Jezebel, Old Irregular.
Final waits: 5, 1, 3, 4, 2.
Both agree that the order must be 5-1-3-4-2. Let's just hope all this logic checks out. If we're correct, the first geyser before us is Morgenstern, and we need to wait for 5 minutes.Kangra posted:
The typical grid doesn't really help much here.
The key requirements are the ordering ones. #5 gives us 3 in sequence, and #4 and #6 give us two in sequence. Since there are only five, these must overlap somehow.
We have the patterns
Pattern 4 and 6 cannot overlap each other, since that would give Old Irregular a 1' wait (#3).pre:
M_ (#4) _O(#6) B_J(#5) _1 4_ _3_
So one of them must overlap with Pattern 5. We'll try to match with the start of Pattern 5.
Pattern 6 cannot overlap with the start of 5 as it would give Big Bob a wait longer than 4 minutes (#2).
Therefore Pattern 4 must overlap with 5 at the start; Pattern 6 overlaps with it at the end.
That yields
This satisfies all requirements and thus we need to wait 5 minutes.pre:
MBSJO 51342
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